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252325224 = 23323504517
BaseRepresentation
bin11110000101000…
…10110101101000
3122120210110010200
433002202311220
51004043401344
641012112200
76152505024
oct1702426550
9576713120
10252325224
1111a481748
1270605660
1340377b88
1425723384
1517243069
hexf0a2d68

252325224 has 24 divisors (see below), whose sum is σ = 683381010. Its totient is φ = 84108384.

The previous prime is 252325223. The next prime is 252325231. The reversal of 252325224 is 422523252.

It can be written as a sum of positive squares in only one way, i.e., 198302724 + 54022500 = 14082^2 + 7350^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (252325223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1752187 + ... + 1752330.

Almost surely, 2252325224 is an apocalyptic number.

252325224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252325224 is an abundant number, since it is smaller than the sum of its proper divisors (431055786).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

252325224 is a wasteful number, since it uses less digits than its factorization.

252325224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3504529 (or 3504522 counting only the distinct ones).

The product of its digits is 9600, while the sum is 27.

The square root of 252325224 is about 15884.7481566438. The cubic root of 252325224 is about 631.9075667307.

Adding to 252325224 its reverse (422523252), we get a palindrome (674848476).

The spelling of 252325224 in words is "two hundred fifty-two million, three hundred twenty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3504517 7009034 10513551 14018068 21027102 28036136 31540653 42054204 63081306 84108408 126162612 252325224